1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
docker41 [41]
2 years ago
15

If x is increased by 25% then, by what % is x² increased

Mathematics
1 answer:
Alinara [238K]2 years ago
5 0

By <em>analytical</em> methods and <em>algebraic</em> handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

<h3>How to determine the percentage increase rate </h3>

In this case we have a <em>linear</em> variable x, whose increase is described by the following expression:

y = x · (1 + r/100)     (1)

Where r is the <em>increase</em> rate.

If we square (1), then we find that:

y² = x² · (1 + r/100)² = (1 + r'/100)     (2)

Where r' is the <em>equivalent increase</em> rate.

(1 + r/50 + r²/10000) = (1 + r'/100)

r'/100 = r/50 + r²/10000

r' = r/2 + r²/100

If we know that r = 25, then the equivalent increase rate is:

r' = 25/2 + 25²/100

r' = 18.75

By <em>analytical</em> methods and <em>algebraic</em> handling and on the basis that x is increased by 25 %, we conclude that the variable x² is increased by 18.75 %.

To learn more on percentages: brainly.com/question/14979505

#SPJ1

You might be interested in
CD is a perpendicular bisector of . Which of the following could be the slopes of the two lines if plotted on a coordinate grid?
NISA [10]

Step-by-step explanation:

A is the correct answer of this question

8 0
3 years ago
(x^4)^2 please answer I need an A
scoray [572]

Answer:

x^8

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
3 years ago
You can model the entrance to a mine shaft using the equation
Furkat [3]

y=-1/2 2 (x+4)(x+-4+

-1/2*2 = -1

y=-1(x+4)(x-4)

solving for x

x - -4 and x =4

-4 to 4 = 8 feet

 width = 8 feet

4 0
3 years ago
Read 2 more answers
Help me please been trying to find an answer to these questions?
AleksandrR [38]

Answer:

tricky ill be right back

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • Round 736 to nearest ten
    13·2 answers
  • The formula for any arithmetic sequence is an = a1 + d(n - 1), where an represents the value of the nth term, a1 represents the
    7·2 answers
  • Write each percent as a decimal and as a mixed number or fraction in simplest form 400%
    14·1 answer
  • Which equation represents a line which is parallel to the line y=4x-8y=4x−8?
    11·1 answer
  • Which expression is equivalent to three times the sum of six and five?
    15·1 answer
  • Use the formula P=le^kt. A bacterial culture has an initial population of 10,000. If its population declines to 7,000 in 4 hours
    10·1 answer
  • I flew to Japan I bought shoes and I bought a shirt waht did I buy first​
    10·1 answer
  • Question 23 of 25
    14·2 answers
  • Help me please and please help ASAP
    11·1 answer
  • I need help on this one.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!